2(4-6x)+8=38-2(x+1)

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Solution for 2(4-6x)+8=38-2(x+1) equation: 


Simplifying
2(4 + -6x) + 8 = 38 + -2(x + 1)
(4 * 2 + -6x * 2) + 8 = 38 + -2(x + 1)
(8 + -12x) + 8 = 38 + -2(x + 1)

Reorder the terms:
8 + 8 + -12x = 38 + -2(x + 1)

Combine like terms: 8 + 8 = 16
16 + -12x = 38 + -2(x + 1)

Reorder the terms:
16 + -12x = 38 + -2(1 + x)
16 + -12x = 38 + (1 * -2 + x * -2)
16 + -12x = 38 + (-2 + -2x)

Combine like terms: 38 + -2 = 36
16 + -12x = 36 + -2x

Solving
16 + -12x = 36 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
16 + -12x + 2x = 36 + -2x + 2x

Combine like terms: -12x + 2x = -10x
16 + -10x = 36 + -2x + 2x

Combine like terms: -2x + 2x = 0
16 + -10x = 36 + 0
16 + -10x = 36

Add '-16' to each side of the equation.
16 + -16 + -10x = 36 + -16

Combine like terms: 16 + -16 = 0
0 + -10x = 36 + -16
-10x = 36 + -16

Combine like terms: 36 + -16 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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